byronseals01
byronseals01 byronseals01
  • 14-06-2020
  • Mathematics
contestada

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation?

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CharlotteNastov
CharlotteNastov CharlotteNastov
  • 14-06-2020
(6 + 5)(x +5) - 4 = 0
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surjithayer10 surjithayer10
  • 14-06-2020

Answer:

Step-by-step explanation:

put x+5=t

6t²+5t-4=0

solve for t and then find x

6t²+8t-3t-4=0

2t(3t+4)-1(3t+4)=0

(3t+4)(2t-1)=0

t=-4/3,1/2

x+5=-4/3

x=-4/3-5=-19/3

or x+5=1/2

x=1/2-5=-9/2

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